Asap will get brainliest and 100 points

1. what is the value of x if (9, x, 41) is a pythagorean triple?

2. lance walked 20 miles east and then 21 miles north to get to work. if he
walked back home after work using the most direct route, how many miles would
he walk on the way back? (find the hypoteneuse of the triangular path)

3. mike measured the stage where his band was going to play to determine if it is
a right triangle. does the stage with side lengths of 36 feet, 48 feet, and 60 feet
form a right triangle? length of the unknown leg in the right triangle?

answer:

1. pythagoras

when a triangle's sides are a pythagorean triple it is a right angled triangle. so use that to u

2.his car broke down the night before he started his new job. the world was inspired when walter carr walked to work. surprised by his boss with a gift of a car rewarding carr after he walked more than 20 miles to be in hurricane katrina and they came and made their home in birmingham,'' she wrote.

3.   if a right angled triangle has legs of length 30 and 40 then its hypotenuse will be of length √302+402=50 . of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. to use the pythagoras theorem a2+b2=c2 (equation for calculating unknown side of a triangle).     hope all of this u

step-by-step explanation:

yes

yes yes yes